Should the state require prospective parents to obtain a license?

There are a great number of people who are unfit to be parents. Cases of child abuse are sickeningly common (Here is a link to a particularly disturbing case). Some parents simply cannot afford their children, or, even if they are not abusive, are simply neglectful. On top of that, the population is increasing at an alarming rate, rapidly approaching a point at which we won’t be able to sustain ourselves.

So my question is: in light of these factors, should parents be required to take a test, proving that they would make good parents, and to meet certain financial and mental health standards. Such a system wouldn’t be perfect, but I think it would be a step towards preventing this sort of thing from occurring.